Question

write all other trigonometric ratios of angle A in terms of sec A​

Answer 1

Answer:

secA=cosA1⇒cosA=secA1

sin2A+cos2A=1⇒sin2A=1−sec2A1⇒sinA±1−sec2A1

tanA=sec2A−1

cotA=tanA1=sec2A−11

cscA=sinA1=±sec2A−1sec2A

Answer 2

secA=

cosA

1

⇒cosA=

secA

1

sin

2

A+cos

2

A=1⇒sin

2

A=1−

sec

2

A

1

⇒sinA±

1−

sec

2

A

1

tanA=

sec

2

A−1

cotA=

tanA

1

=

sec

2

A−1

1

cscA=

sinA

1

=±

sec

2

A−1

sec

2

A

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